Effective theories with maximal analyticity

Details Effective theories with maximal analyticity Effective theories with maximal analyticity

1998-04-25

arxiv.org/abs/hep-ph/9804399v1

Phys.Rev. D59 (1999) 016002

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 2 figures, 1 table, LATEX

Scientific paper

10.1103/PhysRevD.59.016002

In this paper (second in the series) we study the properties of tree-level binary amplitudes of the infinite-component effective field theory of strong interaction obeying the requirements of quark-hadron duality and maximal analyticity. In contrast to the previous paper, here we derive the results following from less restrictive --- Regge-like --- boundedness conditions. We develop the technique of Cauchy's forms in two variables and show the string-like structure of a theory. Next, we derive the full set of bootstrap constraints for the resonance parameters in (\pi,K) system. Numerical test shows: (1) those constraints are consistent with data on well established vector resonances; (2) two light broad resonances -- sigma- and kappa-mesons -- are needed to saturate sum rules following from Chiral symmetry and analyticity. As a by-product we obtain expressions for the parameters of Chiral expansions and give corresponding estimates.

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